Construction of Wavelets Through Walsh Functions

This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar-Vilen...

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Κύριοι συγγραφείς: Farkov, Yu. A. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Manchanda, Pammy (http://id.loc.gov/vocabulary/relators/aut), Siddiqi, Abul Hasan (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Industrial and Applied Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Farkov, Yu. A.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Construction of Wavelets Through Walsh Functions  |h [electronic resource] /  |c by Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi. 
250 |a 1st ed. 2019. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2019. 
300 |a XXII, 381 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Industrial and Applied Mathematics,  |x 2364-6837 
505 0 |a Chapter 1. Introduction to Walsh Analysis and Wavelets -- Chapter 2. Walsh-Fourier Series -- Chapter 3. Haar-Fourier Analysis -- Chapter 4. Construction of Dyadic Wavelets through Walsh Functions -- Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups -- Chapter 6. Haar-Vilenkin Wavelet -- Chapter 7. Construction Biorthogonal Wavelets and Frames -- Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line -- Chapter 9. Orthogonal Vector Valued Wavelets on R+ -- Appendices. 
520 |a This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar-Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book's main theme. Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
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700 1 |a Manchanda, Pammy.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Siddiqi, Abul Hasan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Industrial and Applied Mathematics,  |x 2364-6837 
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